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Simplifying -34 = 5(x + -4) + -7x Reorder the terms: -34 = 5(-4 + x) + -7x -34 = (-4 * 5 + x * 5) + -7x -34 = (-20 + 5x) + -7x Combine like terms: 5x + -7x = -2x -34 = -20 + -2x Solving -34 = -20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -34 + 2x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -34 + 2x = -20 + 0 -34 + 2x = -20 Add '34' to each side of the equation. -34 + 34 + 2x = -20 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = -20 + 34 2x = -20 + 34 Combine like terms: -20 + 34 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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